인수분해

Mixed Practice

In the following exercises, factor.

$2{p}^{2}+4p+3$

Mixed Practice

In the following exercises, factor.

$3{q}^{2}+6q+2$

Mixed Practice

In the following exercises, factor.

$13{z}^{2}+39z-26$

Mixed Practice

In the following exercises, factor.

$5{r}^{2}+25r+30$

Mixed Practice

In the following exercises, factor.

${x}^{2}+3x-28$

Mixed Practice

In the following exercises, factor.

$6{u}^{2}+7u-5$

Mixed Practice

In the following exercises, factor.

$3{p}^{2}+21p$

Mixed Practice

In the following exercises, factor.

$7{x}^{2}-21x$

Mixed Practice

In the following exercises, factor.

$6{r}^{2}+30r+36$

Mixed Practice

In the following exercises, factor.

$18{m}^{2}+15m+3$

Mixed Practice

In the following exercises, factor.

$24{n}^{2}+20n+4$

Mixed Practice

In the following exercises, factor.

$4{a}^{2}+5a+2$

Mixed Practice

In the following exercises, factor.

${x}^{2}+2x-24$

Mixed Practice

In the following exercises, factor.

$2{b}^{2}-7b+4$

List, in order, all the steps you take when using the “ac” method to factor a trinomial of the form $a{x}^{2}+bx+c.$

How is the “ac” method similar to the “undo FOIL” method? How is it different?

What are the questions, in order, that you ask yourself as you start to factor a polynomial? What do you need to do as a result of the answer to each question?

On your paper draw the chart that summarizes the factoring strategy. Try to do it without looking at the book. When you are done, look back at the book to finish it or verify it.

Simplify: ${(12x)}^{2}.$

Multiply: ${(m+4)}^{2}.$